Is it possible to appear in the search results on this site in a sponsored manner? (advertising)
There is the Become a Sponsor page, which as far as I understand, you can pay Itch to display your ads around the site.
As far as I’m aware, this is not affecting search results, and there is no way to pay to help your project rise to the top artificially.
Hope this helps!
They're labeled as “Sponsored" or appear with an "Ad" or "Ads" label on the search results page and might have an "Ads by Google" label on partner sites.